122221112211201 has 128 divisors (see below), whose sum is σ = 185076670464000. Its totient is φ = 71372519387136.

The previous prime is 122221112211161. The next prime is 122221112211229. The reversal of 122221112211201 is 102112211122221.

It is not a de Polignac number, because 122221112211201 - 2⁹ = 122221112210689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122221112211271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1652962290 + ... + 1653036228.

It is an arithmetic number, because the mean of its divisors is an integer number (1445911488000).

Almost surely, 2^{122221112211201} is an apocalyptic number.

It is an amenable number.

122221112211201 is a deficient number, since it is larger than the sum of its proper divisors (62855558252799).

122221112211201 is a wasteful number, since it uses less digits than its factorization.

122221112211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74363.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122221112211201 its reverse (102112211122221), we get a palindrome (224333323333422).

The spelling of 122221112211201 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, two hundred one".